Data Engineering: Fuzzy Mathematics in Systems Theory and

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The publication of Volume II of Frege’s Grundgesetze (1903), and above all Russell’s work The Principles of Mathematics (1903), made the mathematical community fully aware of the existence of the set-theoretic paradoxes, of their impact and importance. The comments and suggestions were on point! NF 70th anniversary volume, Cahiers du Centre de Logique, 16 2009. This means, roughly, that whenever a statement of an empirical theory can be derived using mathematics, it can in principle also be derived without using any mathematical theories.

Pages: 296

Publisher: Wiley-Interscience; 1 edition (July 6, 2001)

ISBN: 0471416568

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There are various rational methods used by the speculative sciences, including theology which adds certain qualifications to their use. More especially, philosophy has inspired the following procedures: The Soctattc method of analysis by questioning and dividing until the essences are reached; the synthetic method developed by Plato, Aristotle and the Medieval thinkers, which involves a demonstrative exposition of the causal relation between thought and being; the ascetic method of intellectual and moral purification leading to an illumination of the mind, as proposed by Plotinus, Augustine and the mystics; the psychological method of inquiry into the origin of ideas, which was used by Descartes and his followers, and also by the British empiricists; the critical or transcendental method, as used by Kant, and involving an analysis of the conditions and limits of knowledge; the dialectical method proceeding by thesis, antithesis and synthesis, which is promoted by Hegelianlsm and Dialectical Materialism; the intuitive method, as used by Bergson, which involves the immediate perception of reality, by a blending of consciousness with the process of change; the reflexive method of metaphysical introspection aiming at the development of the immanent realities and values leading man to God; the eclectic method (historical-critical) of purposive and effective selection as proposed by Cicero, Suarez and Cousin; and the positivistic method of Comte, Spencer and the logical empiricists, which attempts to apply to philosophy the strict procedures of the positive sciences , source: Fuzzy Mathematics: An read epub http://art-caucasus.ru/books/fuzzy-mathematics-an-introduction-for-engineers-and-scientists.

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